| EXTREME POINT RESULTS FOR STRICT POSITIVE REALNESS OF TRANSFER FUNCTION FAMILIES |
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| 作者姓名： | WANG Long HUANG Lin |
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| 作者单位： | Dopartment of Mechanics，Peking University，Beijing 100871，China |
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| 基金项目： | theNationalNaturalScienceFoundationofChina．uncertainties．Intheextremepointresults，onlythecriticalvenicesneedtobeconsidered．Thesetofcriticalvenicesisasubsetofthesetofallthevenicesofthespecificfamily．Insomecases，thenumberofthecriticalvenicesisindepend |
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| 摘 要： | ＥＸＴＲＥＭＥＰＯＩＮＴＲＥＳＵＬＴＳＦＯＲＳＴＲＩＣＴＰＯＳＩＴＩＶＥＲＥＡＬＮＥＳＳＯＦＴＲＡＮＳＦＥＲＦＵＮＣＴＩＯＮＦＡＭＩＬＩＥＳＷＡＮＧＬｏｎｇ；ＨＵＡＮＧＬｉｎ（ＤｏｐａｒｔｍｅｎｔｏｆＭｅｃｈａｎｉｃｓ，ＰｅｋｉｎｇＵｎｉｖｅｒｓｉｔ...
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EXTREME POINT RESULTS FOR STRICT POSITIVE REALNESS OF TRANSFER FUNCTION FAMILIES |
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| WANG Long,HUANG Lin.EXTREME POINT RESULTS FOR STRICT POSITIVE REALNESS OF TRANSFER FUNCTION FAMILIES[J].Journal of Systems Science and Complexity,1994(4). |
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| Authors: | WANG Long HUANG Lin |
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| Abstract: | Several classical results in systems and control field rely on strict positive realness of suitable transfer functions. Absolute stability of nonlinear systems and convergence analysis of adaptive schemes are typical areas where strict positive realness is a key property. In this paper, invariance of this property for families of perturbed transfer functions is studied. Extreme point results are obtained for strict positive realness of polytopic family, multilinear family, and cascade interval family, etc. The concept of critical venices proves to be an important tool to deal with the robustness of control systems with structured uncertainties. |
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| Keywords: | Robustness analysis strict positive realness structured uncertainty transfer function family extreme point result |
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